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Finding the Fourth Proportional to 19,643.68, 27,108.20 and 10,691

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Solution

The fourth proportional to 19,643.68, 27,108.20 and 10,691 is: 14,753.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,643.68 : 27,108.20 = 10,691 : x
  2. Step 2: Convert to fraction form
    19,643.68/27,108.20 = 10,691/x
  3. Step 3: Cross multiply
    19,643.68x = 27,108.20 × 10,691
  4. Step 4: Simplify right side
    19,643.68x = 289,813,766.20
  5. Step 5: Solve for x
    x = 289,813,766.20/19,643.68
  6. Step 6: Final answer
    x = 14,753.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.